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Finding the Fourth Proportional to 4,609.68, 6,909.60 and 2,271.24

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Solution

The fourth proportional to 4,609.68, 6,909.60 and 2,271.24 is: 3,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.68 : 6,909.60 = 2,271.24 : x
  2. Step 2: Convert to fraction form
    4,609.68/6,909.60 = 2,271.24/x
  3. Step 3: Cross multiply
    4,609.68x = 6,909.60 × 2,271.24
  4. Step 4: Simplify right side
    4,609.68x = 15,693,359.90
  5. Step 5: Solve for x
    x = 15,693,359.90/4,609.68
  6. Step 6: Final answer
    x = 3,404.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.